Question

Which function is represented by the graph below?

Answer 1

using a graph tool

I proceed to graph each case to determine the solution

case A) $f(x)=3^{x}-3$

see the attached figure N 1------> is not the solution

case B) $f(x)=3^{(x+3)}$

see the attached figure N 2--------> is the solution

case C) $f(x)=3^{x}$

see the attached figure N 3-----> is not the solution

case D) $f(x)=3^{x}+3$

see the attached figure N 4-----> is not the solution

therefore

the answer is the option

case B) $f(x)=3^{(x+3)}$

Answer 2

I think the correct answer from the list of choices above is the second option. However, the second choice should contain the exponent sign(^). The correct function should be  f(x) = 3^(x + 3). The graph given shows an exponential growth so the equation should as well be an exponential one.